A non-abelian Stickelberger theorem

作者：Burns David^*; Johnston Henri

来源：Compositio Mathematica, 2011, 147(1): 35-55.

DOI：10.1112/S0010437X10004859

• equivariant L-values
• class groups

Let L/k be a finite Galois extension of number fields with Galois group G. For every odd prime p satisfying certain mild technical hypotheses, we use values of Artin L-functions to construct an element in the centre of the group ring Z((p)) [G] that annihilates the p-part of the class group of L.

• 出版日期2011-1